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Finding the Fourth Proportional to 549,423.90, 824,228.90 and 189,497.03

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Solution

The fourth proportional to 549,423.90, 824,228.90 and 189,497.03 is: 284,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,423.90 : 824,228.90 = 189,497.03 : x
  2. Step 2: Convert to fraction form
    549,423.90/824,228.90 = 189,497.03/x
  3. Step 3: Cross multiply
    549,423.90x = 824,228.90 × 189,497.03
  4. Step 4: Simplify right side
    549,423.90x = 156,188,923,521.54
  5. Step 5: Solve for x
    x = 156,188,923,521.54/549,423.90
  6. Step 6: Final answer
    x = 284,277.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.